95674507250400 has 3456 divisors, whose sum is σ = 425132069806080. Its totient is φ = 19963253882880.

The previous prime is 95674507250389. The next prime is 95674507250437. The reversal of 95674507250400 is 405270547659.

It is a happy number.

95674507250400 is a `hidden beast` number, since 9 + 5 + 6 + 74 + 50 + 72 + 50 + 400 = 666.

It is a super-2 number, since 2×95674507250400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 155064030892 + ... + 155064031508.

It is an arithmetic number, because the mean of its divisors is an integer number (123012751680).

Almost surely, 2^{95674507250400} is an apocalyptic number.

95674507250400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95674507250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212566034903040).

95674507250400 is an abundant number, since it is smaller than the sum of its proper divisors (329457562555680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

95674507250400 is a wasteful number, since it uses less digits than its factorization.

95674507250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 95674507250400 in words is "ninety-five trillion, six hundred seventy-four billion, five hundred seven million, two hundred fifty thousand, four hundred".